# barthannwin

Modified Bartlett-Hann window

## Syntax

``w = barthannwin(L)``

## Description

example

````w = barthannwin(L)` returns an `L`-point modified Bartlett-Hann window. NoteThe Hann window is also called the Hanning window. ```

## Examples

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Create a 64-point Bartlett-Hann window. Display the result using `wvtool`.

```L = 64; wvtool(barthannwin(L))```

## Input Arguments

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Window length, specified as a real positive scalar.

Data Types: `single` | `double` | `int8` | `int16` | `int32` | `int64` | `uint8` | `uint16` | `uint32` | `uint64`

## Output Arguments

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Modified Bartlett-Hann window, returned as a column vector of length `L`.

## Algorithms

The equation for computing the coefficients of a Modified Bartlett-Hanning window is

`$w\left(n\right)=0.62-0.48|\left(\frac{n}{N}-0.5\right)|+0.38\mathrm{cos}\left(2\pi \left(\frac{n}{N}-0.5\right)\right)$`

where $0\le n\le N$ and the window length is $L=N+1$.

Like Bartlett, Hann, and Hamming windows, this window has a mainlobe at the origin and asymptotically decaying sidelobes on both sides. It is a linear combination of weighted Bartlett and Hann windows with near sidelobes lower than both Bartlett and Hann and with far sidelobes lower than both Bartlett and Hamming windows. The mainlobe width of the modified Bartlett-Hann window is not increased relative to either Bartlett or Hann window mainlobes.

## References

[1] Ha, Y. H., and J. A. Pearce. “A New Window and Comparison to Standard Windows.” IEEE® Transactions on Acoustics, Speech, and Signal Processing. Vol. 37, Number 2, 1999, pp. 298–301.

[2] Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck. Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice Hall, 1999, p. 468.

## Version History

Introduced before R2006a